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Finding the Fourth Proportional to 401,432.34, 602,148.78 and 101,935.38

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Solution

The fourth proportional to 401,432.34, 602,148.78 and 101,935.38 is: 152,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,432.34 : 602,148.78 = 101,935.38 : x
  2. Step 2: Convert to fraction form
    401,432.34/602,148.78 = 101,935.38/x
  3. Step 3: Cross multiply
    401,432.34x = 602,148.78 × 101,935.38
  4. Step 4: Simplify right side
    401,432.34x = 61,380,264,705.84
  5. Step 5: Solve for x
    x = 61,380,264,705.84/401,432.34
  6. Step 6: Final answer
    x = 152,903.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.